determine how the ring and the disk resist rotational movement. Afterward we will compare how the radius of the masses and the torque(force) applied relate to the angular acceleration. We will achieve a predictable force by using g=gravity=9.8 for this acceleration. Theory: In this experiment we will measure the inertia of a disk and a ring by dividing an applied torque by the resulting acceleration. I=. Then we will calculate the theoretical inertia using the moment of inertia equations for a
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Rotational Equilibrium - a body is in rotational equilibrium when no net torque acts on it. The sum of the torques is equal to zero. Conditions for Equilibrium The first condition of equilibrium: “For a body to be in equilibrium‚ the vector sum of all the forces acting on that body must be zero.” (ΣF = 0) The second condition of equilibrium: “For a body to be in rotational equilibrium‚ the sum of all the torques acting on that body must be zero.” (ΣΓ = 0)
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Motor Characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1 Torque-Speed Characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Electromagnetic Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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Simulink Implementation of Induction Machine Model – A Modular Approach Burak Ozpineci1 Leon M. Tolbert1‚2 burak@ieee.org tolbert@utk.edu 1 2 Oak Ridge National Laboratory P.O. Box 2009 Oak Ridge‚ TN 37831-6472 Department of Electrical and Computer Engineering The University of Tennessee Knoxville‚ TN 37996-2100 parameters are accessible for control and verification purposes. Simulink induction machine model discussed in this paper has been featured in a recent graduate
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the mass of the rotating body is distributed about its axis of rotation. This quantity is known as moment of inertia. We may now write‚ [pic] [pic] Thus‚ K. E = [pic] TORQUE: The
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A SELF-BALANCING QUADCOPTER DESIGN WITH AUTONOMOUS CONTROL H. S. M. M. Caldera1‚ B. W. S. Anuradha1‚ D. M. G. K. P. Udgeethi1‚ A. A. T. Surendra1‚ B. R. Y. Dharmarathne1‚ R. D. Ranaweera2‚ D. Randeniya2 1Department of Mechatronics Engineering‚ South Asian Institute of Technology and Medicine‚ Sri Lanka‚ Email:shehanmalaka.c@gmail.com 2Department of Electrical and Electronic Engineering‚ University of Peradeniya‚ Sri Lanka Email:rdbranaweera@ee.pdn.ac.lk Abstract The unmanned aerial vehicles
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any point on the curved surface is normal to the surface and therefore resolves through the pivot point because this is located at the origin of the radii. Hydrostatic forces on the upper and lower curved surfaces therefore have no net effect – no torque to affect the equilibrium of the assembly because all of these forces pass through the pivot. The forces on the sides of the quadrant are horizontal and cancel out (equal and opposite).
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body to angular acceleration [1]. An important factor as the resulting moment governs the analysis of rotational dynamics with an equation of the form M=I∝ which defines a relationship between several properties including angular acceleration and torque [2]. The polar moment of inertia is the measure of a body’s resistance to torsion and is used to calculate the angular displacement and periodic time of the body under simple harmonic motion [3]. The moment of inertia of any mechanical component that
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sin(α)α2 − mLr cos(α)¨ ˙ α ˙ = T − Bθ 4 2 ¨ ¨ 3 mL α − mLr cos(α)θ − mgL sin α = 0 2 Defining x= θ α ˙ θ α ˙ T ‚ y= θ α T ‚ u=V (1) where T is the torque on the load from the motor‚ α is the pendulum angle‚ θ is the horizontal arm angle and other system parameters are given in Table I. In addition‚ the torque T is generated by DC motor such that [2] T = ηm ηg Kt Kg ˙ V − Kg Km θ Rm (2) and linearizing about the upright position i.e. x = 0‚ yields 0 0 0 1 0 0 0
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Introductory Physics I Elementary Mechanics by Robert G. Brown Duke University Physics Department Durham‚ NC 27708-0305 rgb@phy.duke.edu Copyright Notice Copyright Robert G. Brown 1993‚ 2007‚ 2013 Notice This physics textbook is designed to support my personal teaching activities at Duke University‚ in particular teaching its Physics 141/142‚ 151/152‚ or 161/162 series (Introductory Physics for life science majors‚ engineers‚ or potential physics majors‚ respectively). It is freely
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